What is the Greatest Common Factor of 15522 and 15536?

Greatest common factor (GCF) of 15522 and 15536 is 2.

GCF(15522,15536) = 2

We will now calculate the prime factors of 15522 and 15536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15522 and 15536.

How to find the GCF of 15522 and 15536?

We will first find the prime factorization of 15522 and 15536. After we will calculate the factors of 15522 and 15536 and find the biggest common factor number .

Step-1: Prime Factorization of 15522

Prime factors of 15522 are 2, 3, 13, 199. Prime factorization of 15522 in exponential form is:

15522 = 2¹ × 3¹ × 13¹ × 199¹

Step-2: Prime Factorization of 15536

Prime factors of 15536 are 2, 971. Prime factorization of 15536 in exponential form is:

15536 = 2⁴ × 971¹

Step-3: Factors of 15522

List of positive integer factors of 15522 that divides 15522 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 199, 398, 597, 1194, 2587, 5174, 7761

Step-4: Factors of 15536

List of positive integer factors of 15536 that divides 15522 without a remainder.

1, 2, 4, 8, 16, 971, 1942, 3884, 7768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15522 and 15536. The biggest common factor number is the GCF number.
So the greatest common factor 15522 and 15536 is 2.

Also check out the Least Common Multiple of 15522 and 15536